Quantum-limited metrology with product states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 1, 2008, Pages

  Boixo, Sergio ^a,b   Datta, Animesh ^a   Flammia, Steven T ^a,c   Shaji, Anil ^a   Bagan, Emilio ^a,d   Caves, Carlton M ^a,e  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^d UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^e UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EQUATIONS OF STATE; HAMILTONIANS; NONLINEAR EQUATIONS; STATE ESTIMATION;

COUPLING CONSTANT; GENERALIZED QUANTUM METROLOGY; QUADRATIC HAMILTONIAN;

QUANTUM THEORY;

EID: 38549177428     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.012317     Document Type: Article

References (30)

1. D. J. Wineland, J. J. Bollinger, W. M. Itano, and D. J. Heinzen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50.67 50, 67 (1994).
2. J. J. Bollinger, W. M. Itano, D. J. Wineland, and D. J. Heinzen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.R4649 54, R4649 (1996).
3. S. F. Huelga, C. Macchiavello, T. Pellizzari, A. K. Ekert, M. B. Plenio, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3865 79, 3865 (1997).
4. A. M. Childs, J. Preskill, and J. Renes, J. Mod. Opt. JMOPEW 0950-0340 10.1080/095003400148123 47, 155 (2000).
5. J. A. Dunningham and K. Burnett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.033601 70, 033601 (2004).
6. A. Luis, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2004.06.080 329, 8 (2004).
7. M. de Burgh and S. D. Bartlett, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042301 72, 042301 (2005).
8. P. Cappellaro, J. Emerson, N. Boulant, C. Ramanathan, S. Lloyd, and D. G. Cory, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.020502 94, 020502 (2005).
9. J. BeltrÃn and A. Luis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.045801 72, 045801 (2005).
10. V. Giovannetti, S. Lloyd, and L. Maccone, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.010401 96, 010401 (2006).
11. S. M. Roy and S. L. Braunstein, e-print arXiv:quant-ph/0607152.
12. S. Boixo, S. T. Flammia, C. M. Caves, and J. M. Geremia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.090401 98, 090401 (2007).
13. E. Knill, G. Ortiz, and R. D. Somma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.012328 75, 012328 (2007).
14. A. Luis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.035801 76, 035801 (2007).
15. A. M. Rey, L. Jiang, and M. D. Lukin, e-print arXiv:cond-mat/0706.3376.
16. S. Boixo and R. D. Somma, e-print arXiv:quant-ph/0708.1330.
17. H. L. Partner, B. D. Black, and J. M. Geremia, e-print arXiv:quant-ph/0708.2730.
18. S. Choi and B. Sundaram, e-print arXiv:cond-mat/0709.3842.
19. S. Boixo, C. M. Caves, A. Datta, and A. Shaji, Laser Phys. LAPHEJ 1054-660X 10.1134/S1054660X06110065 16, 1525 (2006).
20. G. Gilbert, M. Hamrick, and Y. S. Weinstein, e-print arXiv:quant-ph/ 0612156.
21. A. Shaji and C. M. Caves, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.032111 76, 032111 (2007).
22. S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.3439 72, 3439 (1994).
23. S. L. Braunstein, C. M. Caves, and G. J. Milburn, Ann. Phys. 247, 135 (1996). 0003-4916
24. C. W. Helstrom, Quantum Detection and Estimation Theory, 1st ed., Mathematics in Science and Engineering (Academic, New York, 1976), Vo l. 123.
25. A. S. Holevo, Probabilistic and Statistical Aspects of Quantum Theory, 1st ed., North-Holland Series in Statistics and Probability Theory (North-Holland, Amsterdam, 1982), Vol. 1.
26. J. M. Geremia, J. K. Stockton, A. C. Doherty, and H. Mabuchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.250801 91, 250801 (2003).
27. B. L. Higgins, D. W. Berry, S. D. Bartlett, H. M. Wiseman, and G. J. Pryde, e-print arXiv:quant-ph/0709.2996, Nature (to be published).
28. F. Toscano, D. A. R. Dalvit, L. Davidovich, and W. H. Zurek, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.023803 73, 023803 (2006).
29. W. H. Zurek, Nature (London) NATUAS 0028-0836 10.1038/35089017 412, 712 (2001).
30. J. J. Sakurai, Modern Quantum Mechanics, 2nd ed. (Addison Wesley, New York, 1994).